For what value(s) of k are the vectors u = in R orthogonal? k v= -2

Q: Consider the following vectors. u (6, –5) and v = (9, 1) u + v = (12, – 3) | (c) Find 7v – u. 7v – u…

A: By algebra of vectors we solve the this question.

Q: 2. For the vectors u = -5i + k and v = 3j - 4k, find a. (u · v)u b. u - 3v

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Q: Find a non-zero vector perpendicular to the vectors and ú =

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Q: Find the angle between the two vectors A = i +j+k and B = 2i+j-k

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Q: 2. Consider the two vectors in R³ with components u = (2,-1,-1) and v = (-2,1+ √√3,1-√3). (a) (12…

A: Step 1: Step 2: Step 3: Step 4:

Q: What value of a will make the vectors (-2, x, 1) and (2, –1, 1) orthogonal? Select one: O a. 3 O b.…

A: For orthogonal, dot product of two vectors are zero.

Q: (b) 4x Find any values of x such that the vectors 3 and are parallel X-1 to each other.

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Q: The vectors u = (-7, 1, -2) and v = (-28, x, - 8) are parallel if and only if x = - 212 %3D Select…

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Q: Q1: If , r₂ and r₂ are three parallel vectors of the same magnitude Prove that ₁+₂+3 is equally…

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Q: Find the magnitude only for the vector from T(-2, 6, 1) to U(10, -3, -4).

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Q: 10) Find two vectors of norm 1 that are orthogonal to the vectors u = and

A: Consider the provided question, u=12-23 and v=2134 Let w=ABCD be such a vector,Then, w·u=0…

Q: 9. Find all the vectors with the length 6 units, which a = 2į +3j- 2k andh = i - 2j + 3k .…

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Q: Find the angle between the vectors v and w v = (2,−3)T , w = (3, 2)T

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Q: Find the distance d between the points P₁(7, 1, 10) and P₂(−3, 10, 3) by first finding the vector v…

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Q: Find the values of x such that the angle between the vectors and is 45°.

A: Given that The angle between the vectors 6,1,-1 and 1,x,0 is 45°.

Q: : (2,1,2). 1- Find the unit vectors u1 and u2 in the directions of v = (1,3) and w = Find unit…

A: If we have a vector u=a,b,c, then the unit vector that is in the direction of vector u is the vector…

Q: Find a vector orthogonal to both v = 8 -6 and w 9 0 -6

A: Step 1: The cross product of two vectors is orthogonal to both of the original vector Step 2: Step…

Q: If å = -î +ĵ b = 2î – 3j č = î - î And d = å – 3B + ¢ Determine the unit vector of d

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Q: For the vectors u = 3ỉ − 8j + 2k and - v = 4i - 2j – 4k we have - ü × v = 28i + 20j +38k. Select…

A: The given vectors

Q: Find a vector, w, which is perpendicular to the vectors where u=61-15 Ĵ + 7k and v= -19 1+53 - 5 k.…

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Q: Let v be the vector The vector of length 3 in the opposite direction as v is 2 Select one: a. -2 O…

A: Vector v  = (1,2,-2) opposite direction to  given vector can be find as -v (-1,-2,2)

Q: Let the vectors x = (-0.3, –4.6, –3) and y = (4.1, –-2.2, r) Determine the value of r such that the…

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Q: Q2: If u = 2i +4j- 5k and v= -4i-8j+ak, (1) For what value or values of a will the vectors u and v…

A: Given: Q2. u=2i+4j-5k and v=-4i-8j+ak. To find: (1) For what values or values of a will the vector u…